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Rotating Squares

Rotating Squares
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2019-07-21 02:58
PolygonTrigonometrySolid GeometryTransformation
This example demonstrates the dynamic process of rotating a square around a point. Core math concepts include rotation, polygons, transformation, and solid geometry. It utilizes GeoGebra commands Rotate and Sequence, along with objects L, n, q1, r, l1. Suitable for high school students and teachers studying solid geometry, transformations, and dynamic geometry.

GeoGebra Commands & Parameters

  1. Rotate(Polygon[L], n, zAxis) → q1
  2. Sequence(Rotate[Rotate[Polygon[Dilate[L, w, (4, 0, 0)]], (w * r), Dilate[zAxis, w, (4, 0, 0)]], r, zAxis], w, 0.05, 1, 0.05) → l1

AI Drawing Prompt Reference

Draw a dynamic process of rotating a square around the origin. First, draw a square L, then rotate it n times around the z-axis to get q1. Next, create a sequence of squares scaled and rotated from L, with rotation angles ranging from 0.05 times the z-axis rotation to 1 time the z-axis rotation.
The prompt above was compiled from the original drawing commands and is for reference only.